Any smooth, closed oriented 4-manifold M has a surface diagram, which is a closed, orientable surface,
decorated with simple closed curves, that specifies M up to diffeomorphism. I will discuss various
properties of surface diagrams.
Links:
[1] https://www.mpim-bonn.mpg.de/taxonomy/term/39
[2] https://www.mpim-bonn.mpg.de/node/3444
[3] https://www.mpim-bonn.mpg.de/node/3651